Given an isosceles triangle ABC with base AB. Point K is taken on the extension of the side AC (beyond the point C ) so that ∠KBC=∠ABC. Denote S the intersection point of angle - bisectors of ∠BKC and ∠ACB. Lines AB and KS intersect at point L, lines BS and CL intersect at point M . Prove that line KM passes through the midpoint of the segment BC. geometryequal anglesisoscelesmidpoint